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2068512 = 25329743
BaseRepresentation
bin111111001000000100000
310220002110120
413321000200
51012143022
6112200240
723403435
oct7710040
93802416
102068512
111193116
12839080
13575694
143bbb8c
152acd5c
hex1f9020

2068512 has 48 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 664832.

The previous prime is 2068501. The next prime is 2068513. The reversal of 2068512 is 2158602.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2068513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2413 + ... + 3155.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

22068512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2068512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2068512 is an abundant number, since it is smaller than the sum of its proper divisors (3556128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2068512 is a wasteful number, since it uses less digits than its factorization.

2068512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2068512 is about 1438.2322482826. The cubic root of 2068512 is about 127.4146449093.

The spelling of 2068512 in words is "two million, sixty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 743 928 1392 1486 2229 2784 2972 4458 5944 8916 11888 17832 21547 23776 35664 43094 64641 71328 86188 129282 172376 258564 344752 517128 689504 1034256 2068512